Question

Which is equivalent to 4√9^(1/2)x

9^2x
9^(1/8)x
√9^x
6√9^x

Answer 1

B.
`9^{(1)/(8)x}`

Step-by-step explanation

To simplify the expression:

`\sqrt[4]{9\,} ^{(1)/(2)x}`

First, we can rewrite the 4th root as the base to the 1/4 power:

`9^{\, ((1)/(4)\, \cdot \,(1)/(2)x)}`

Then, we can simplify the multiplication within the exponent to get:

B.
`\boxed{9^{(1)/(8)x}}`